Answer:
Similarity: sinusoidal function has the same general shape as a sine or cosine function. Differences: y = sin x and y = cos x
Step-by-step explanation:
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
Answer:
∠WXY = 107°
Step-by-step explanation:
In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°. ∠W and ∠WXY are adjacent, so they are supplementary. 180° - 73° = 107°.
Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.
I hope this helps :))
Answer:
1/2 or 50%
Step-by-step explanation:
There are 4 total cards
The number of odd or 5 is 3 or 5 so a total of 2 choices
P(5 or odd) = { 5 or odd}/ total
= 2/4
=1/2
Answer:
The mode of the data set is 4.
Step-by-step explanation:
Hey there!
The <u>mode</u> of a data set is the most commonly occurring data value in that set.
To begin, we need to organize the data set in <u>increasing order</u>:
1, 1, 2, 3, 4, 4, 4, 6, 6, 10
Then, we can tally the <u>frequency</u> of each data value occurring in the data set:
1 - II
2 - I
3 - I
4 - III
6 - II
10 - I
We can see that there are three occurrences for the data value 4 — which is the most frequent occurrence — so 4 is our answer.
Learn more about <u>mode</u> here: brainly.com/question/11163338
